Global regularity for solutions of the minimal surface equation with continuous boundary values

DOI10.1016/S0294-1449(16)30375-4zbMath0627.49020OpenAlexW2592900118MaRDI QIDQ1092403

Graham H. Williams

Publication date: 1986

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1986__3_6_411_0

zbMATH Keywords

Dirichlet problemminimal surface equationHölder continuitybarriers

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Minimal surfaces and optimization (49Q05) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (2)

Solutions of the minimal surface equation continuous and discontinuous at the boundary ⋮ Boundary regularity for Quasi—Linear elliptic equations with continuous boundary data

Cites Work

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• The Dirichlet problem for quasilinear elliptic equations with Hölder continuous boundary values
• Global estimates of Hölder continuity for a class of divergente-form elliptic equations
• Extremal barriers on cones with Phragmén-Lindelöf theorems and other applications
• The Dirichlet problem for the minimal surface equation with Lipschitz continuous boundary data.
• The dirichlet problem for quasilinear elliptic equations with continuously differentiable boundary data
• Solutions of the minimal surface equation continuous and discontinuous at the boundary
• The quasilinear dirichlet problem with decreased regularity at the boundary
• Boundary behaviour of solutions of the non-parametric least area problem
• Elliptic Partial Differential Equations of Second Order
• The Dirichlet problem for the minimal surface equation in higher dimensions.
• Superfici cartesiane di area minima

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